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Finding the Fourth Proportional to 565,771.56, 780,770.34 and 311,124.52

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Solution

The fourth proportional to 565,771.56, 780,770.34 and 311,124.52 is: 429,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,771.56 : 780,770.34 = 311,124.52 : x
  2. Step 2: Convert to fraction form
    565,771.56/780,770.34 = 311,124.52/x
  3. Step 3: Cross multiply
    565,771.56x = 780,770.34 × 311,124.52
  4. Step 4: Simplify right side
    565,771.56x = 242,916,797,262.74
  5. Step 5: Solve for x
    x = 242,916,797,262.74/565,771.56
  6. Step 6: Final answer
    x = 429,354.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.